The class Bp for weighted generalized Fourier transform inequalities
und | 30. Dez. 2015
Über diesen Artikel
Online veröffentlicht: 30. Dez. 2015
Seitenbereich: 121 - 133
Eingereicht: 22. Jan. 2015
DOI: https://doi.org/10.1515/aupcsm-2015-0009
© by Chokri Abdelkefi
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp. As application, we obtain the Pitt’s inequality for power weights.